30680 has 32 divisors (see below), whose sum is σ = 75600. Its totient is φ = 11136.

The previous prime is 30677. The next prime is 30689. The reversal of 30680 is 8603.

30680 = T₃₅ + T₃₆ + ... + T₆₀.

It is a happy number.

30680 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

30680 is strictly pandigital in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 491 + ... + 549.

2³⁰⁶⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37800).

30680 is an abundant number, since it is smaller than the sum of its proper divisors (44920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30680 is a wasteful number, since it uses less digits than its factorization.

30680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 30680 is about 175.1570723665. The cubic root of 30680 is about 31.3053419348.

The spelling of 30680 in words is "thirty thousand, six hundred eighty".